All categories

3 years ago

Kimberly has driven

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer: 300.

Step-by-step explanation: 225/(No denominator) = 75/100.

225 doesn't go in 75. So, 75/100 divided by 5 = 15/20.

I want to find what number you multiply from 15/20 to get 225/(No

denominator). So, I divide 225 by 15. = 15, so multiply 15 x 15 = 225, and

the denominator, 20 x 15= 300.

(Sorry if you don't understand, I don't really know how to explain things.)

But here's your answer!

You might be interested in

Proportion of u/8=13/17

GalinKa [24]

$\dfrac{u}{8}=\dfrac{13}{17}\qquad\text{cross multiply}\\\\17u=(8)(13)\\\\17u=104\qquad\text{divide both sides by 17}\\\\\boxed{u=\dfrac{104}{17}}$

7 0

3 years ago

Read 2 more answers

Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated

dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

$P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A$

Where,

W: percentage of wetland

R: percentage of residential area

A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

$P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\$

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

$P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49$

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

6 0

3 years ago

A sample of a radioactive substance decayed to 97% of its original amount after a year. (Round your answers to two decimal place

Alborosie

Answer:

23 years

Step-by-step explanation:

Step 1: Calculate the rate constant (k) for the radioactive decay

A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.

ln [A]/[A]₀ = - k.t

k = ln [A]/[A]₀ / -t

k = ln 0.97 [A]₀/[A]₀ / -1 year

k = 0.03 year⁻¹

Step 2: Calculate the half-life of the substance

We will use the following expression.

$t_{1/2}$ = ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years